Results 1 to 10 of about 1,722,948 (307)
A Coding Theorem for f-Separable Distortion Measures [PDF]
Entropy, 2018 In this work we relax the usual separability assumption made in rate-distortion literature and propose f -separable distortion measures, which are well suited to model non-linear penalties.
Yanina Shkel, Sergio Verdú
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The Distortion Theorem for quasiconformal mappings, Schottky’s Theorem and holomorphic motions [PDF]
Proceedings of the American Mathematical Society, 1997 We prove the equivalence of Schottky’s theorem and the distortion theorem for planar quasiconformal mappings via the theory of holomorphic motions. The ideas lead to new methods in the study of distortion theorems for quasiconformal mappings and a new proof of Teichmüller’s distortion theorem.
G. Martin
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A sharp form of the Ahlfors’ distortion theorem, with applications [PDF]
Transactions of the American Mathematical Society, 1984 The constant appearing in the asymptotic version of the Ahlfors’ distortion theorem is 1 1 . Also it is shown that for mean
D. H. Hamilton
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A distortion theorem for quasiconformal mappings [PDF]
Bulletin de la Société mathématique de France, 1986 There exists a constant \(C=C(K,n)\) such that for any K-quasiconformal mapping \(f: B^ n\to {\mathbb{R}}^ n\) and for any \(z\in B\) there exists \(x\in \partial B^ n\) with \(| z-x| 1) \] where \(f^*\) is the nontangential maximal function.
M. Zinsmeister
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A distortion theorem for analytic functions [PDF]
Proceedings of the American Mathematical Society, 1971 Let f ( z ) f(z) be a function analytic in the disk E { z : | z | > 1 } E\{ z:|z| > 1\} and for some real number n > 0 n > 0 let
M. M. Robertson
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A rate-distortion theorem for arbitrary discrete sources [PDF]
IEEE Transactions on Information Theory, 1998 Summary: A rate-distortion theorem for arbitrary (not necessarily stationary or ergodic) discrete-time finite-alphabet sources is given. This result, which provides the expression of the minimum \(\varepsilon\)-achievable fixed-length coding rate subject to a fidelity criterion, extends a recent data compression theorem by [\textit{Y.
Po-Ning Chen
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A distortion theorem on schlicht functions [PDF]
Kodai Mathematical Journal, 1957 Kôtaro Oikawa
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A Koebe distortion theorem for quasiconformal mappings in the Heisenberg group [PDF]
Annali di Matematica Pura ed Applicata, 2019 We prove a Koebe distortion theorem for the average derivative of a quasiconformal mapping between domains in the sub-Riemannian Heisenberg group H1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
Tomasz Adamowicz +2 more
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ON MULTIVALENT HARMONIC MEROMORPHIC FUNCTIONS INVOLVING HYPERGEOMETRIC FUNCTIONS [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper we introduce a subclass of multivalent harmonic meromorphic functions defined in the exterior of the unit disk by using generalize hypergeometric functions.
ABDULRAHMAN SALMAN JUMA
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Distortion theorems for Bloch functions [PDF]
Transactions of the American Mathematical Society, 1992 We establish various distortion theorems for both normalized locally schlicht Bloch functions and normalized Bloch function with branch points. These distortion theorems give lower bounds on either
Liu, Xiangyang, Minda, David
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